20760138081600 has 2688 divisors, whose sum is σ = 81419931648000. Its totient is φ = 4598415360000.

The previous prime is 20760138081589. The next prime is 20760138081607. The reversal of 20760138081600 is 618083106702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20760138081607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 190459982346 + ... + 190459982454.

Almost surely, 2^{20760138081600} is an apocalyptic number.

20760138081600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20760138081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709965824000).

20760138081600 is an abundant number, since it is smaller than the sum of its proper divisors (60659793566400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20760138081600 is a wasteful number, since it uses less digits than its factorization.

20760138081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 20760138081600 in words is "twenty trillion, seven hundred sixty billion, one hundred thirty-eight million, eighty-one thousand, six hundred".